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一类捕食食饵模型正解的性质

The property of the positive solution for a predator-prey model
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摘要 目的讨论一类具有Beddington-DeAngelis功能反应函数的交叉扩散捕食模型正解的性质。方法利用最大值原理,Harnack不等式,ε-Young不等式和Poincaré不等式研究该模型。结果给出了模型正解的上下界和非常数正解的不存在性。结论在适当条件下该模型不存在非常数正解。 Aim To discuss the property of the positive solution prey model with Beddington-DeAngelis functional response. Methods for a cross-diffusion predator- The model is investigated by means Of maximum principle, Harnack inequality, ε-Young inequality and Poincare inequality. Results A priori estimate of the positive solution and the nonexistence of the non-constant positive solutions for the model are given. Conclusion Under the appropriate conditions, the model has no non-constant positive solution.
作者 姜洪领 王利娟
机构地区 宝鸡文理学院数学系
出处 《宝鸡文理学院学报（自然科学版）》 CAS 2012年第4期12-15,20,共5页 Journal of Baoji University of Arts and Sciences(Natural Science Edition)
基金 国家自然科学基金资助项目(10971124) 陕西省自然科学基础研究计划资助项目(2011JQ1015) 宝鸡文理学院重点资助项目(Zk10116 Zk11137)
关键词 捕食食饵 上下界 非常数正解 predator-prey upper arid lower bounds non-constant positive solution
分类号 O175.26 [理学—基础数学]
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参考文献18

  • 1BRAZA P A. The bifurcation structure of the Holling-Tanner model for predator-prey interactions using two-timing[J].SIAM Journal of Applied Mathematics,2003.889-904.
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二级参考文献38

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共引文献22

宝鸡文理学院学报（自然科学版）
2012年 第4期

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